Does Current Remain Constant in a Wire with Varying Cross Sections?

AI Thread Summary
In a wire with varying circular cross sections, the current remains constant throughout, adhering to the conservation of charge principle. This means that the same number of Coulombs per second passes through any cross-sectional area, preventing charge accumulation. The discussion emphasizes that despite changes in cross-sectional area, the current does not vary. The conservation law is fundamental to understanding current flow in electrical circuits. Therefore, the current is uniform across different sections of the wire.
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Homework Statement



Just wondering if a wire of varying circular cross section would have varying currents, or if the conservation law applies, and the current is the same at all points despite the varying circular cross sections?

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The Attempt at a Solution

 
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The number of Coulombs/second passing through any cross sectional area will be the same otherwise you would have accumulation of charge somewhere. In other words, the conservation law applies.
 

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